Liberal Arts and Science - Manchester Community College ...

Mathematics
MAT* 075: Prealgebra: Number Sense & Geometry
(formerly MATH 098)
This course is designed to enhance the student’s mathematical literacy so that
he/she will be prepared to deal effectively with a variety of practical problems.
Topics include: interpretation and analysis of charts and graphs; geometry and
measurements; estimation and reasonableness of answers, applications using
ratios, proportions, percents and decimals; properties of the whole, integer,
and rational numbers and operations on the real numbers; and solutions of
equations. A review of the operations and fundamental concepts of arithmetic
and geometry will be imbedded in and connected to real world problem
situations. A TI-83+ graphing calculator is required. Class: 3 hours per week.
Prerequisites: placement by mathematics assessment test and eligibility for
ENG* 093. (Fa,Sp,Su) no credit
MAT* 095: Elementary Algebra Foundations
(formerly MATH 101: Mathematical Modeling II: Algebraic Concepts)
The course includes all of the basic properties and theorems of the real number
system that are required to solve linear, quadratic and selected rational
equations. Linear systems, basic graphing, integer exponents and selected
literal equations are included. A TI-83+ graphing calculator is required and fully
integrated into the course. Class: 3 hours per week. Prerequisites: eligibility
for ENG* 101, and “B-” or better in MAT* 075 or placement by mathematics
assessment test. (Fa,Sp,Su) no credit
MAT* 096: Algebraic Concepts Number Sense & Geometry
(formerly MATH 100: Number Sense, Geometry and Algebraic Concepts)
This course satisfies the requirements for both MAT* 075 and MAT* 095 in a
single semester. The course will provide the student with enhanced mathematical
literacy in arithmetic, geometric, and algebraic concepts while strengthening
and building problem solving and reasoning skills. Topics include: interpretation
and analysis of charts and graphs; geometry and measurements; estimation
strategies; ratio and proportion; percents and decimal numbers; properties of
the whole numbers, integers, rationals and reals; operations of the real numbers;
use of variables, equations and graphs to interpret problems in symbolic form;
properties and theorems of the real number systems to solve linear, quadratic,
rational, and literal equations; linear systems; and integer exponents. Practical
problem applications and graphing calculators will be fully integrated into the
course. A TI-83+ graphing calculator is required for the course. Class: 5 hours
per week. Prerequisites: placement by mathematics assessment test, and
eligibility for ENG* 093. (It is recommended that students consult with either
the Mathematics Department or their advisor.) (Fa,Sp) no credit
MAT* 109: Quantitative Literacy
(formerly MATH 110)
Selected topics in mathematics chosen to satisfy the General Studies program
requirement in mathematics. A course designed to demonstrate the fundamental
nature of mathematics and its applications in modern life through an introduction
to the concepts of statistics. Topics include random sampling, design
of surveys and experiments, information from samples, confidence intervals,
elementary probability, examining numbers and data critically, graphing and
data analysis, written discussion of numerical analysis, and simulation. A TI-
30 XIIs or TI-83+ calculator is required. Applications considered throughout.
Prerequisites: “C” or better in MAT* 095 or 096 or placement by mathematics
assessment test and a passing grade in ENG* 093. May not be taken for credit
if credit already received for MAT* 165. (Fa,Sp) 3 credits
MAT* 138: Intermediate Algebra: A Modeling Approach
(formerly MATH 102: Mathematical Modeling III: Advanced Algebraic
Concepts)
Polynomial functions with special attention to linear, quadratic and power functions;
rational with attention to the reciprocal function; square root, absolute
value, piecewise and exponential functions are studied. A TI-83+ graphing
calculator is required and used throughout. Class: 3 hours per week. Prerequisites:
“C” or better in MAT* 096 or MAT* 095, or placement by mathematics
assessment test. “C” or better in ENG* 101 (recommended) or concurrent
registration in ENG* 101 (acceptable). No credit if already completed MAT*
158 or any higher numbered math course. (Fa,Sp,Su) 3 credits
MAT* 143: Math for Elementary Ed
(formerly MATH 113: Structure of Mathematics I: Number Systems
A study of the real number system that stresses conceptual understanding of
the basic operations and their applications. Topics include an examination of
whole numbers, integers, and rational and irrational numbers with an emphasis
on place value and the associated operations. Topics from numeration systems,
number theory, and set theory will be developed as needed. Problem-solving
strategies will be developed and integrated throughout. In order to develop
and illustrate concepts, manipulatives and technology will be used where
appropriate. A Texas Instruments “Math Explorer” is required, or, for those
planning to teach middle school, a TI-80. Prerequisites: Grade of “C” or better
in MAT* 138 or placement by mathematics assessment test, and “C” or better
in ENG* 101. (O) 3 credits
MAT* 146: Math for Liberal Arts
(formerly MATH 106: Elements of Modern Mathematics)
An introduction to contemporary mathematics for students of science, social
science and the liberal arts. Topics may include: sets and deductive reasoning,
inductive reasoning, logic, counting techniques, social choice and decision making,
management science and the nature of geometry—growth and symmetry.
Applications are considered throughout. A TI-83+ calculator is required. Class:
3 hours per week. Prerequisites: “C” or better in MAT* 138 or placement by
mathematics assessment test, and “C” or better in ENG* 101. (Sp) 3 credits
MAT* 148: Geometry
(formerly MATH 109)
A foundation course in Euclidean geometry using an axiomatic approach
recommended especially for physical science and engineering majors who
have not had a formal geometry course. Topics include: inductive and deductive
reasoning; logic; polygons; parallelism; congruence; similarity; coordinate
geometry; direct, indirect and coordinate proof; three-dimensional space; and
a brief introduction to non-Euclidean geometries. As appropriate, computer
software is used to encourage exploration and formulation of hypothesis. Class:
3 hours per week. Prerequisites: “C” or better in ENG* 101 (recommended)
or concurrent registration in ENG* 101 (acceptable) and “C” or better in MAT*
138 or “B+” or better in MAT* 096 or MAT* 095 or placement by mathematics
assessment test. (O) 3 credits
MAT* 154: Technical Mathematics I
(formerly MATH 115)
A first course in technical mathematics with an emphasis on the application of
algebraic and geometric techniques and principles to the solution of problems
in industrial and computer technology. The course is designed to develop and
enhance the students’ mathematical skills through presentation of relevant
technical situations, and an integrated development of graphic, algebraic and
geometric models and solution methods. A TI-83+ or TI-86 graphing calculator
is required and is used throughout. Prerequisite: placement by mathematics
assessment test or a grade of “C” or better in MAT* 138 and “C” or better in
ENG* 101. (Fa) 3 credits
MAT* 155: Technical Mathematics II
(formerly MATH 116)
A second course in technical mathematics with an emphasis on the application
of trigonometry and algebraic techniques and principles to the solution of
problems in industrial and computer technology. The course is designed to
Next Semester Offered Designations: Fa = Fall, O = Occasional, Sp = Spring, Su = Summer 139
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